24.789 is what percent of 25.539 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 25.539 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 25.539, so we can write it down as 100%=25.539.
4. We know, that x% equals 24.789 of the output value, so we can write it down as x%=24.789.
5. Now we have two simple equations:
1) 100%=25.539
2) x%=24.789
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=25.539/24.789
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.789 is what percent of 25.539

100%/x%=25.539/24.789
(100/x)*x=(25.539/24.789)*x       - we multiply both sides of the equation by x
100=1.0302553551979*x       - we divide both sides of the equation by (1.0302553551979) to get x
100/1.0302553551979=x
97.063314930107=x
x=97.063314930107

now we have:
24.789 is 97.063314930107% of 25.539